https://doi.org/10.1140/epjc/s10052-017-5149-2
Regular Article - Theoretical Physics
A comparative study on generalized model of anisotropic compact star satisfying the Karmarkar condition
1
Department of Mathematics, Government General Degree College, Singur, Hooghly, West Bengal, 712409, India
2
Department of Physics, National Defence Academy, Khadakwasla, Pune, 411023, India
3
Department of Mathematics, Jadavpur University, Kolkata, 700032, India
* e-mail: piyalibhar90@gmail.com
Received:
20
June
2017
Accepted:
21
August
2017
Published online:
9
September
2017
A new solution satisfying the Karmarkar condition is presented here. We were first to have discovered a hypergeometric function metric potential representing embedding class I spacetime. This new solution yields finite values of metric potentials, density, pressure, redshift, etc. and hence a non-singular solution. The solution is well behaved with respect to the parameter 
to 
corresponding to a stable configuration of mass 
and radius 9.1 km. The internal properties of the solution are very different for to ; however, the total mass and radius is independent of the parameter n. The energy conditions are also holds good by the solution which thus can represent a physically viable matter distribution. The equilibrium condition and stability are also discussed through TOV-equation, cracking method and 
. The static stability criterion is also well satisfied and the turning point corresponds to 
for a radius of 9.1 km.
© The Author(s), 2017
